Eighteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time. Suppose that six of these individuals are randomly assigned to a particular examiner, and let X be the number among the six who are taking the test for the first time. (a) What kind of a distribution does X have (name and values of all parameters)? h(x; 6, 8, 18) 8 b(x; 6, 18 b(x; 6, 8, 18) nb(x; 6, 8, 18) 8 O h(x; 6, 18 8 nb(x; 6, 18 (b) Compute P(X = 2), P(X < 2), and P(X > 2). (Round your answers to four decimal places.) P(X = 2) %3D P(X < 2) %D P(X > 2) : (c) Calculate the mean value and standard deviation of X. (Round your answers to three decimal places.) mean individuals standard deviation individuals

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Eighteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time. Suppose that six of these
individuals are randomly assigned to a particular examiner, and let X be the number among the six who are taking the test for the first time.
(a) What kind of a distribution does X have (name and values of all parameters)?
h(x; 6, 8, 18)
8
b(x; 6,
18
b(x; 6, 8, 18)
nb(x; 6, 8, 18)
8
O h(x; 6, 18
8
nb(x; 6,
18
(b) Compute P(X = 2), P(X < 2), and P(X > 2). (Round your answers to four decimal places.)
P(X = 2)
%3D
P(X < 2)
%D
P(X > 2) :
(c) Calculate the mean value and standard deviation of X. (Round your answers to three decimal places.)
mean
individuals
standard deviation
individuals
Transcribed Image Text:Eighteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time. Suppose that six of these individuals are randomly assigned to a particular examiner, and let X be the number among the six who are taking the test for the first time. (a) What kind of a distribution does X have (name and values of all parameters)? h(x; 6, 8, 18) 8 b(x; 6, 18 b(x; 6, 8, 18) nb(x; 6, 8, 18) 8 O h(x; 6, 18 8 nb(x; 6, 18 (b) Compute P(X = 2), P(X < 2), and P(X > 2). (Round your answers to four decimal places.) P(X = 2) %3D P(X < 2) %D P(X > 2) : (c) Calculate the mean value and standard deviation of X. (Round your answers to three decimal places.) mean individuals standard deviation individuals
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